Fetching the paper…
Reading the bibliography…
Estimating mutual information from observed samples is a basic primitive, useful in several machine learning tasks including correlation mining, information bottleneck clustering, learning a Chow-Liu tree, and conditional independence testing in (causal) graphical models.
Calculation of the amount of information about a random function contained in another such function
Izrail Moiseevich Gelfand and AM Yaglom · 1959
Earlier work this paper cites.
Information theory with abstract alphabets
A Perez · 1959
Earlier work this paper cites.
Information and information stability of random variables and processes
Mark S Pinsker · 1960
Earlier work this paper cites.
Approximating discrete probability distributions with dependence trees
C Chow and Cong Liu · 1968
Earlier work this paper cites.
Sample estimate of the entropy of a random vector
LF Kozachenko and Nikolai N Leonenko · 1987
Earlier work this paper cites.
Information theory and statistics
T. M. Cover and J. A. Thomas · 1991
Earlier work this paper cites.
Using mutual information for selecting features in supervised neural net learning
R. Battiti · 1994
Earlier work this paper cites.
Nonparametric entropy estimation: An overview
Jan Beirlant, Edward J Dudewicz, László Györfi, and Edward C Van der Meulen · 1997
Earlier work this paper cites.
Estimation of the information by an adaptive partitioning of the observation space
Georges A Darbellay and Igor Vajda · 1999
Earlier work this paper cites.
Spikes: exploring the neural code
Fred Rieke · 1999
Earlier work this paper cites.
Estimation of entropy and mutual information
Liam Paninski · 2003
Earlier work this paper cites.
Fast binary feature selection with conditional mutual information
F. Fleuret · 2004
Earlier work this paper cites.
Estimating mutual information
A. Kraskov, H. Stögbauer, and P. Grassberger · 2004
Earlier work this paper cites.
Feature selection based on mutual information criteria of max-dependency, max-relevance, and min-redundancy
H. Peng, F. Long, and C. Ding · 2005
Earlier work this paper cites.
Divergence estimation of continuous distributions based on data-dependent partitions
Q. Wang, S. R. Kulkarni, and S. Verdú · 2005
Earlier work this paper cites.
Pattern recognition
Christopher M Bishop · 2006
Earlier work this paper cites.
Undersmoothed kernel entropy estimators
Liam Paninski and Masanao Yajima · 2008
Earlier work this paper cites.
Divergence estimation for multidimensional densities via-nearest-neighbor distances
Q. Wang, S. R. Kulkarni, and S. Verdú · 2009
Cited alongside, same era.
Detecting novel associations in large data sets
David N Reshef, Yakir A Reshef, Hilary K Finucane, Sharon R Grossman, Gilean McVean, Peter J Turnbaugh, Eric S Lander, Michael Mitzenmacher, and Pardis C Sabeti · 2011
Cited alongside, same era.
Estimating the unseen: an n/log (n)-sample estimator for entropy and support size, shown optimal via new clts
Gregory Valiant and Paul Valiant · 2011
Cited alongside, same era.
Wisdom of crowds for robust gene network inference
Daniel Marbach, James C Costello, Robert Küffner, Nicole M Vega, Robert J Prill, Diogo M Camacho, Kyle R Allison, Manolis Kellis, James J Collins, Gustavo Stolovitzky, et al · 2012
Cited alongside, same era.
Information theoretic clustering using minimum spanning trees
A. C. Müller, S. Nowozin, and C. H. Lampert · 2012
Cited alongside, same era.
Lectures on the nearest neighbor method
Gérard Biau and Luc Devroye · 2015
Later among the works it cites.
Multivariate mutual information inspired by secret-key agreement
C. Chan, A. Al-Bashabsheh, J. B. Ebrahimi, T. Kaced, and T. Liu · 2015
Later among the works it cites.
Mast: a flexible statistical framework for assessing transcriptional changes and characterizing heterogeneity in single-cell rna sequencing data
Greg Finak, Andrew McDavid, Masanao Yajima, Jingyuan Deng, Vivian Gersuk, Alex K Shalek, Chloe K Slichter, Hannah W Miller, M Juliana McElrath, Martin Prlic, et al · 2015
Later among the works it cites.
Estimating mutual information by local gaussian approximation
S. Gao, G Ver Steeg, and A. Galstyan · 2015
Later among the works it cites.
Adaptive estimation of shannon entropy
Yanjun Han, Jiantao Jiao, and Tsachy Weissman · 2015
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
K. Sricharan, D. Wei, and A. O. Hero · 2013
Cited alongside, same era.
Efficient estimation of mutual information for strongly dependent variables
S. Gao, G. Ver Steeg, and A. Galstyan · 2014
Cited alongside, same era.
Maximum likelihood estimation of functionals of discrete distributions
Jiantao Jiao, Kartik Venkat, Yanjun Han, and Tsachy Weissman · 2014
Cited alongside, same era.
Non-asymptotic theory for the plug-in rule in functional estimation
Jiantao Jiao, Kartik Venkat, and Tsachy Weissman · 2014
Cited alongside, same era.
Bayesian approach to single-cell differential expression analysis
Peter V Kharchenko, Lev Silberstein, and David T Scadden · 2014
Cited alongside, same era.
Conditional density-based analysis of t cell signaling in single-cell data
Smita Krishnaswamy, Matthew H Spitzer, Michael Mingueneau, Sean C Bendall, Oren Litvin, Erica Stone, Dana Pe’er, and Garry P Nolan · 2014
Cited alongside, same era.
Mutual information between discrete and continuous data sets
B. C. Ross · 2014
Cited alongside, same era.
Minimax estimation of discrete distributions under ell1 loss
Yanjun Han, Jiantao Jiao, and Tsachy Weissman · 2015
Later among the works it cites.
Minimax estimation of functionals of discrete distributions
Jiantao Jiao, Kartik Venkat, Yanjun Han, and Tsachy Weissman · 2015
Later among the works it cites.
Strong data-processing inequalities for channels and bayesian networks
Yury Polyanskiy and Yihong Wu · 2015
Later among the works it cites.
Efficient multivariate entropy estimation via k k -nearest neighbour distances
Thomas B Berrett, Richard J Samworth, and Ming Yuan · 2016
Later among the works it cites.
Breaking the bandwidth barrier: Geometrical adaptive entropy estimation
Weihao Gao, Sewoong Oh, and Pramod Viswanath · 2016
Later among the works it cites.
Demystifying fixed k-nearest neighbor information estimators
Weihao Gao, Sewoong Oh, and Pramod Viswanath · 2016
Later among the works it cites.
Finite-sample analysis of fixed-k nearest neighbor density functional estimators
Shashank Singh and Barnabás Póczos · 2016
Later among the works it cites.
Minimax rates of entropy estimation on large alphabets via best polynomial approximation
Yihong Wu and Pengkun Yang · 2016
Later among the works it cites.
Ensemble estimation of mutual information
Kevin R Moon, Kumar Sricharan, and Alfred O Hero III · 2017
Closest in time.
Nonparanormal information estimation
Shashank Singh and Barnabás Pøczos · 2017
Closest in time.
Measure theory and fine properties of functions
LawrenceCraig Evans · 2018
Closest in time.